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arxiv: hep-th/9904182 · v2 · submitted 1999-04-27 · ✦ hep-th · math-ph· math.MP

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Asymptotic Form of Zero Energy Wave Functions in Supersymmetric Matrix Models

J. Froehlich , G.M. Graf , D. Hasler , J. Hoppe , S.-T. Yau
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classification ✦ hep-th math-phmath.MP
keywords asymptoticformmatrixsupersymmetricdecayderivedimensionaldimensions
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We derive the power law decay, and asymptotic form, of SU(2) x Spin(d) invariant wave-functions which are zero-modes of all s_d=2(d-1) supercharges of reduced (d+1)-dimensional supersymmetric SU(2) Yang Mills theory, resp. of the SU(2)-matrix model related to supermembranes in d+2 dimensions.

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    Derives the effective Hamiltonian in the collective field framework for three-matrix quantum mechanics models and analyzes the stability of the vacuum solution.